line or surface meeting a curved line or surface at one point, but not intersecting it

line or surface meeting a curved line or surface at two points creating a chord through the graph

Limit Definition of a Derivative

limit as h goes to 0 of f(x+h)-f(x)/h

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Differentiation

Vocabulary for taking a derivative

Term	Definition
Product Rule	f'g+g'f
Quotient Rule	f'g-g'f/g^2
Chain Rule	f'(g(x))*g'(x)
Tangent	line or surface meeting a curved line or surface at one point, but not intersecting it
Secant	line or surface meeting a curved line or surface at two points creating a chord through the graph
Point Slope Form	y-y1=m(x-x1)
Limit Definition of a Derivative	limit as h goes to 0 of f(x+h)-f(x)/h
Slope Formula	(y2-y1)/(x2-x1)
Power Rule	nx^n-1
Integral	Antiderivative